Self-focusing in the damped nonlinear Schrodinger equation

Authors
Fibich, G
Citation
G. Fibich, Self-focusing in the damped nonlinear Schrodinger equation, SIAM J A MA, 61(5), 2001, pp. 1680-1705
Citations number
36
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
61
Issue
5
Year of publication
2001
Pages
1680 - 1705
Database
ISI
SICI code
0036-1399(20010323)61:5<1680:SITDNS>2.0.ZU;2-2
Abstract
We analyze the effect of damping ( absorption) on critical self-focusing. W e identify a threshold value delta (th) for the damping parameter delta suc h that when delta > delta (th) damping arrests blowup. When delta < <delta> (th), the solution blows up at the same asymptotic rate as the undamped non linear Schrodinger equation.